Algebra (SSC) (Part-3)

Total Questions: 50

31. If 𝓍 = 3y + 4, then what is the value of (𝓍³ - 27y³ - 36𝓍y) ? [SSC CPO 27/06/2024 (2nd Shift)]

Correct Answer: (b) 64
Solution:

32. Solve the following equation. [SSC CPO 27/06/2024 (3rd Shift)]

Correct Answer: (a) -15
Solution:

33. Solve the following equation. [SSC CPO 27/06/2024 (3rd Shift)]

Correct Answer: (b) 11
Solution:

34. If a + 2b + 3c = 0, then what is the value of (a³ + 8b³ + 27c³ ) ? [SSC CPO 28/06/2024 (1st Shift)]

Correct Answer: (a) 18 abc
Solution:

35. If x = 110, y = 111, z = 112, then find the value of x³ + y³ + z³ - 3xyz. [SSC CPO 28/06/2024 (1st Shift)]

Correct Answer: (a) 999
Solution:

36. Solve the following equation. [SSC CPO 28/06/2024 (2nd Shift)]

Correct Answer: (b) ± 6
Solution:

37. The sum of two numbers is 28 and the sum of their squares is 528. Find the square root of the product of both the numbers. [SSC CPO 28/06/2024 (2nd Shift)]

Correct Answer: (a) 8√2
Solution:


38. Solve the following equation. [SSC CPO 28/06/2024 (3rd Shift)]

Correct Answer: (b) 0
Solution:

39. If 𝓍 = 11, then the value of (𝓍⁵ - 12𝓍⁴ + 12𝓍³ - 12𝓍² + 12𝓍 - 1) [SSC CPO 28/06/2024 (3rd Shift)]

Correct Answer: (a) 10
Solution:

40. If a + b + c = 15 and ab + bc + ca = 35 then find the value of a³ + b³ + c³ - 3abc. [SSC CPO 29/06/2024 (1st Shift)]

Correct Answer: (d) 1800
Solution: